Non-Linear Cosmology of Globular Cluster Systems around Galaxies

Abstract

The formation of systems of globular star clusters around galaxies has been studied in the framework of a nonlinear-nonstationary model of collapsing galaxies. Instabilities of the model with respect to four perturbation modes are analyzed, with the mode order determining the average number of clusters in the system. Critical diagrams for the dependence of the initial value of the virial ratio on the rotation degree of collapsing model are plotted. The instability growth rates are calculated, and the obtained instability parameters are compared. K e y w o r d s: systems of globular star clusters. gravitational instabilities, pulsation model of self-gravitating system, cosmology of globular clusters.

Investigation of globular cluster of irregular galaxies

“…It is clear from the statistics of GCS in other galaxies [17][18][19][20][21] that the greater the mass of the parent galaxy, the greater should be the mass of its GCS. It has been studied this dependence in detail, since the dynamics and evolution of the GCS and the rate of its striving for an equilibrium state are determined, first of all, by its mass.…”

“…It should be noted that for irregular galaxies it has not yet been possible to completely find all the empirical dependencies on the physical parameters studied Physics and Astronomy for other galaxies. For example, in [17][18][19][20][21] several empirical dependencies were found for elliptical and lenticular galaxies. Some similar dependencies could not be found for irregular galaxies.…”

“…Here i = −1, l -the amplitude of the pulsation, which is determined using a simple relationship l = − 1 2 0 ( ) T U through the virial relation, where T is kinetic energy and U is potential energy. Thus, the NDE is a system of differential equations for an unknown function a(t) in the expansion of the potential perturbation (3).…”

“…Irregular galaxies are stellar-gas systems in which signs of symmetry, in particular, a spiral, elliptical or other structure, are not found; they have a rather irregular shape and a ragged structure [1][2][3][4]. Sometimes interstellar gas makes up about half of the total matter of irregular galaxies.…”

On the Problem of the Specific Frequency of Globular Clusters

“…GCs are also valuable objects for theoretical and observational astronomy. It should be noted that the works [2][3][4][5][6] summarize the results of the research on GC and them systems. The specific frequency S N , GC of elliptical and spiral galaxies plays an important role in using the properties of GC systems to limit the models of galaxy formation.…”